Question

How do you take the derivative of `tan^4 (x)`?

Answer 1

chain rule

Explanation:

We know the given function can be rewritten as

`y=tan^4(x)` = `((tan(x))^4)`
so upon applying chain rule

`y'=4((tan(x))^(4-1)).(sec^2(x))`

recall derivative of
`tan(x) =sec^2(x)`

so,
`y'=4((tan(x))^3).(sec^2(x))`

cheerio